As noted above the GG bridge does have options for visitors as long as you know in advance. I think I saw a post on FT about the time it went cashless and then checked on their web site. Of course you can't do anything until you have the car and know the registration.
Almost all toll systems east of the Mississippi take EZ-Pass/I-Pass so you can just carry a transponder. Again you have to register the license plate. I did have a booth in Boston fail to read my I-Pass but when the contractor for National billed me and I explained what had happened they waived the extra fees. IL allows you to fix missed tolls online but MA doesn't.